https://file.aiquickdraw.com/mathbot/file/1726152121273zd15xah3.jpg

The equation in the image appears to be:

\[
\lim_{x \to 0} \sqrt{x^2 + 1} - 1
\]

Would you like me to evaluate this limit and explain the steps?

Also, here are 5 related questions to consider:
1. What is the general approach to evaluating limits with square roots?
2. Can limits involving square roots be simplified using rationalization?
3. How can L'Hopital's rule be applied to limits?
4. What are indeterminate forms in limits?
5. What happens to the function \(\sqrt{x^2 + 1}\) as \(x\) approaches infinity?

**Tip:** Rationalizing the expression involving square roots often helps simplify limits.

Learn how to evaluate the limit \lim_{x \to 0} \sqrt{x^2 + 1} - 1 with a detailed step-by-step solution. This problem covers key mathematical concepts, including limits, square roots, and indeterminate forms, suitable for students in Grades 11-12.

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